Math Forum / Mathematics / Undergraduate Math / January 2006

        My question is regarding linear regession. In linear regression we add an error variable( which we will treat it as random variable with mean 0 and variance sigma-square) which accounts for disturbances. And using least mean square method we find out all the
coefficients ...

Hi, does anyone know how Archimedes managed to calculate the sides of inscribed and circumscribed n-sided polygons without using trigonometry??? This is concerning his pi algorithm using a unit circle.

I am taking a Differential Equations course and am not sure what is going
on.
But all joking aside...
I have been asked to describe all the kinds of solutions there are for the

Our high tech triangle in Silicon Forest is innovating some promising new curriculum concepts in tandem with a South African group, teaching Logo, Squeak and then Python.  The Winterhaven group, which I'm leading, is field testing a more geographical blend, featuring Google Earth ...

The problem with your society is the failure of reason.
The mathematical proof I have is so short it can be given in a couple
of paragraphs and dispute can be shown to be disagreements with the
distributive property.

Let A and B be non-empty sets. Now, cartesian product is defined as
 AxB={<a,b> | a \in A and b \in B}.
My first question is: do elements <a,b> and <b,a> differ? For example
A={1,2}, AxA={<1,1>,<1,2>,<2,1>,<2,2>}. Is <1,2>=<2,1>? I think no, but

  I'm an undergrad student, and i desperately need help with Linear
Algebra, i've been unable to find simple tutorials on the net which
define stuff like subspaces, vector spaces, generating set, linear
independence, basis, linear transforms, kernel, eigenvalues,

I'm tutoring someone in hydrology, which is generally not a
too-heavy-on-calculus class. We're both a bit stumped on this following
question, and maybe I'm making it harder than it needs to be.
"logarithmic velocity distribution, u(z), in turbulent flow, is

does anyone know how I go about finding the limit of
x-ln(1+2e^x)as x tends to (+)infinity?
(N.B. ln is the natural logarithm)
Any help much appreciated

Can someone please help me find a solid starting point for the following
Linear Algebra problem:
1.) Without directly evaluating the determinant, show that:

pls suggest a basic book for algebra. also note that book must be
usable for self teaching with illustrations and good help. the topics
that needs to be covered include
groups, subgroups, cyclic group, Lagrange's theorem, homomorphism,

I had a quiz in an abstract algebra class today and there was a
question that I could not answere.  The question was how many elements
of order 4 are in S5, here 5 is a subscript.
My second question is about a proof.

Ok, how do I find the probability of AT LEAST k successes in n bernoulli trials without summing them all up? Isn't there some sort of integral approximation using the normal density?
Basically, what I want to appoximate is the probability of losing less than $100 after playing ...

Dear Students,
 I am a scientist, providing help for undergrad,
postgrad, distance education and adult students in doing assignments,
theses, projects, dissertations, writing essays, etc.

This was a homework problem from Elementary Linear Algebra, Ninth Edition,
Howard Anton and Chris Rorres.  Can someone please check it for me.  I have
worked through it several times and gotten different answers.
Use Gauss-Jordan elimination to solve for x' and y' in terms of x ...